Answer:
its 2.3
Step-by-step explanation:
Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic functions may or may not have x-intercepts
Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
[tex]f(x)=ax^3+bx^2+cx+d[/tex]
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
[tex]y = x^3 - x[/tex]
Equate y to 0
[tex]x^3 - x = 0[/tex]
Expand
[tex]x(x^2 - 1) = 0[/tex]
Express [tex]x^2 - 1[/tex] as difference of two squares
[tex]x(x - 1)(x +1 ) = 0[/tex]
x = 0 or 1 or -1
For 2 x intercepts
[tex]y = x^3 - x[/tex]
[tex]y =(x-5)^2)(x+7)[/tex]
Equate y to 0
[tex](x-5)^2(x+7) = 0[/tex]
Expand
[tex](x-5)(x-5)(x+7) = 0[/tex]
x= 5 or x = -7
For 1 x intercept
[tex]y = x^3[/tex]
Equate y to 0
[tex]x^3 = 0[/tex]
Take cube roots of both sides
[tex]x = 0[/tex]
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
[tex]y = x^2 + x + 17[/tex]
The above function has no x intercept.
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
[tex]y = x^2- 6x + 9[/tex]
Equate y to 0
[tex]x^2- 6x + 9 = 0[/tex]
Expand
[tex]x^2 - 3x - 3x + 9 = 0[/tex]
[tex](x - 3)(x-3) = 0[/tex]
[tex]x = 3[/tex]
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
The distance between town a and town b on a Map is 14.6cm. If the scale is 1cm=14miles, what is the actual distance between towns
Answer:
204.4 miles
Step-by-step explanation:
Given data
we are told that on the map the distance is 14.6cm
scale
1cm=14miles
hence if
1cm represents 14miles
then 14.6 cm will be x
cross multiply
x= 14.6*14
x=204.4 miles
Hence the distance is 204.4 miles
Please solve this smart pole
Answer:
What’s the question?
Step-by-step explanation:
ethan earned 5% of the maximum number of points possible . It ethan earned 40 points , what is the maximum number of points possible ?
Answer:
3840
Step-by-step explanation:
Can you help me thank you
Answer:
What you have is correct :)
Step-by-step explanation:
yesterday the temperature was 7 degrees fahrenheit . Today the temperature is 0 degrees fahrenheit . What was the change in the temperature from yesterday to today?
Answer:
-7
Step-by-step explanation:
HOPE THIS HELPS
Apply the distributive property to create an equivalent expression. 5 × ( − 2 w − 4 )
Answer:
5(-2w)-(5x4)
Step-by-step explanation:
Answer:
5(-2w)-(5x4)
Step-by-step explanation: Hope this helps Can I be the Branliest?
Shelly and Steve buy prepaid phone
cards so they can call home from
summer camp. Shelly buys 150 minutes
for $30. Steve buys 200 minutes for
$42. Who is the person getting the
better deal?
Answer:
Steve
Step-by-step explanation:
steve is buying 200 minutes which is more than 150 minutes
Hope i helped :) :) :)
You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2015?
Answer:
$112,500
Step-by-step explanation:
Triangle A
Triangle B
Which of the following sequences of transformations will carry triangle A onto triangle B?
O A. Rotate triangle A 90° clockwise about (-1,-4), reflect it over the x-axis, and translate it 3 units to the left.
ОВ.
Translate triangle A 1 unit up and 1 unit to the left, rotate it 90° clockwise about the origin, and reflect it over the y-axis.
Answer:
A
Step-by-step explanation
A
Answer:
Do not trust his answer!! its B
Step-by-step explanation:
I did this question and i picked A because the other person said too but it was wrong
it's a ven dyagram question pls help
Answer:
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
Step-by-step explanation:
A {21,24,27,30}
B {21,23,25,27,29,31}
C {20,22,24,26,28,30,32}
a) A U B = {21,23,24,25,27,29,30,31 }
b) A n C = {24,30}
whats the solution to 2/3x^2+24
Answer:
you cant solve for x if it doesnt equal to something.
Step-by-step explanation:
Edward constructs several similar rectangles using pieces of balm wood. The similar rectangles are based on a rectangle with a length of 3 feet and a width of 5 feet. Which of the following dimensions would NOT be proportional to any of the new rectangles Edward could build?
F. 6 ft by 10 ft
G. 1 ft by 1 2/3ft
H. 18 ft by 30 ft
J . 1 1/5 ft by 2 1/2 ft
1
5
9
2 ft
18 Ft
A rectangular window 5 feet by 2 feet is on a rectangular wall 9 feet by 18 feet. The rest of the
wall needs to be painted. Approximately how many square feet of wall needs to be painted? *
64 square feet
68 square feet
O
152 square feet
O 172 square feet
Answer:
152sqft
Step-by-step explanation:
5 * 2 = 10
9 * 18 = 162
162 - 10 = 152
Fifty students were eating lunch in the school cafeteria. The ratio of boys to girls was 25:25. Mrs. White asked Kym to explain what that ratio meant. Kym said it meant that 25% of the students in the cafeteria were boys.
Explain why Kym is incorrect.
Answer:
Kym is wrong because instead of 25% it would be 50 percent
Step-by-step explanation:
Answer:
Sample Response: The ratio of boys to total students was 25:50. Written as a fraction, this is 25/50. Rewrite the fraction with a denominator of 100 to 50/100. So 50% of the students were boys.
You might wanna change up some words so the teacher doesn't know your cheating lol
Work out the size of angle x.
98
85°
The size of the angle x is 13°
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
Let the triangle having ∠x have the following angles:
∠A and ∠B.
Now,
∠A is opposite to 85°.
So,
∠A = 85°
98° and one angle are corresponding angles.
So,
One angle = 98°
Now,
One angle and ∠B is a straight angle.
So,
∠B + 98 = 180
∠B = 180 - 98
∠B = 82°
Now,
The sum of the triangle is 180.
This means,
x + 82 + 85 = 180
x = 180 - 167
x = 13
Thus,
The value of x is 13.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ5
1.
A bucket is put under a leaking ceiling. The amount of water in the bucket doubles every minute. After 8 minutes,
the bucket is full. After how many minutes is the bucket half-full?
I
Answer:
4min
Step-by-step explanation:
half full = 4min. disregard the doubles every min.
Answer:
7 minutes
Step-by-step explanation:
6. A candle that is 8 inches tall burns at a rate of 3/4 inches per hour. Find the height of the
candle after 4 hours.
14. Paris and Mia are saving money for their senior trip. Paris has $35 saved already and will save $20 per week. Mia has $85 saved already and will save $10 per week. When will they have saved the same amount?
Answer:12
Step-by-step explanation:
2. Find the square root.
(a) V25
Answer:
answer is 5 hope it helps
Answer:
5
is the square root of [tex]\sqrt{25}[/tex]
Step-by-step explanation:
[tex]\sqrt{25} = 5\\[/tex]
look at the two sums shaded in the addition table.why are the sums the same
Answer:
LOOK
Step-by-step explanation:
Because of the communitve property of addtion which states that
x+y=y+x
In the addition table
5+9 is equal to 9+5 and both equal 14
e is 5 more than d f is 7 less than d write an expression for f in the terms of d
Answer:
Step-by-step explanation:
d-7
Helpppppp mehhhhh (^0^)
Tariq gets an electricity bill.
The cost of the electricity used before the
VAT is added is £493.80.
VAT is charged at 5% on domestic fuel bills.
What is the cost of the electricity bill,
including VAT?
HELPP (2) this is due in 4 mintues
Answer:
I think its A.
Step-by-step explanation:
X=?
Enter the number that goes in the green box.
Please helpppp:(
Answer:
x=35°
Step-by-step explanation:
145°+110°+70°=325°
360°-325°=35°
Which statement correctly describes the relationship between the point (-3, 2), and point Q?
Answer: it is a reflection across the x-axis sorry if I responded late
0.25x+7.5=15 Explain or show each step.
Answer:
x = 30
Step-by-step explanation:
So, you want to get 'x' by itself
0.25x + 7.5 = 15
- 7.5 -7.5
0.25x = 7.5
--------- ------
0.25 0.25
x = 30
GOOD AT MATH!! PLEASE HELPPP
Answer:
C : JK is longer than JL.
Step-by-step explanation:
We can use the pythagorean theorem to solve this question, if we think of lines JK and JL as hypotenuse lengths. Triangle JK has side lengths of 5 and 5. Triangle JL has side lengths of 1 and 5. JK is longer than JL.
Answer:
C
Step-by-step explanation:
use the distance formula d= [tex]\sqrt (x2-x1)2+(y2-y1)2[/tex]
The distance of J to K is 6.403124
The distance of J to L is 5.09902
SOMEONE PLEASE HELP!!
Answer:
48
Step-by-step explanation:
You were right. Just multiply it!